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TitleGeneralized Koszul properties for augmented algebras
Author(s) Christopher Phan
TypeArticle in Journal
AbstractUnder certain conditions, a filtration on an augmented algebra A admits a related filtration on the Yoneda algebra E ( A ) : = Ext A ( K , K ) . We show that there exists a bigraded algebra monomorphism gr E ( A ) ↪ E Gr ( gr A ) , where E Gr ( gr A ) is the graded Yoneda algebra of grA. This monomorphism can be applied in the case where A is connected graded to determine that A has the K 2 property recently introduced by Cassidy and Shelton.
KeywordsAugmented algebra, Filtered algebra, Graded algebra, Gröbner basis, K 2 algebra, Koszul algebra, Poincaré–Birkhoff–Witt algebra, Yoneda algebra
ISSN0021-8693
URL http://www.sciencedirect.com/science/article/pii/S0021869308006194
LanguageEnglish
JournalJournal of Algebra
Volume321
Number5
Pages1522 - 1537
Year2009
Edition0
Translation No
Refereed No
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